No, you do not technically own the underlying asset. When you purchase stocks on Abra, you’re purchasing exposure to the stocks. This is similar to a Gold ETF where you gain exposure to the price fluctuations without actually owning the underlying asset - gold.
Purchasing exposure to stocks works the same way as with the synthetic cryptocurrencies within Abra. Your investments are tied to a hedge to the underlying asset.
This means that while you may receive dividends (depending on your investment) for the eligible assets, you will not have voting rights.